1577598961 has 3 divisors (see below), whose sum is σ = 1577638681. Its totient is φ = 1577559242.

The previous prime is 1577598949. The next prime is 1577598973. The reversal of 1577598961 is 1698957751.

The square root of 1577598961 is 39719.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 1698957751 = 19 ⋅89418829.

It is an interprime number because it is at equal distance from previous prime (1577598949) and next prime (1577598973).

It is not a de Polignac number, because 1577598961 - 2¹⁹ = 1577074673 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1577598896 and 1577598905.

It is not an unprimeable number, because it can be changed into a prime (1577598361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 19860 + ... + 59578.

Almost surely, 2^1577598961 is an apocalyptic number.

1577598961 is the 39719-th square number.

1577598961 is the 19860-th centered octagonal number.

It is an amenable number.

1577598961 is a deficient number, since it is larger than the sum of its proper divisors (39720).

1577598961 is an frugal number, since it uses more digits than its factorization.

1577598961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79438 (or 39719 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 58.

The cubic root of 1577598961 is about 1164.1230018555.

The spelling of 1577598961 in words is "one billion, five hundred seventy-seven million, five hundred ninety-eight thousand, nine hundred sixty-one".