1583960401 has 3 divisors (see below), whose sum is σ = 1584000201. Its totient is φ = 1583920602.

The previous prime is 1583960393. The next prime is 1583960447. The reversal of 1583960401 is 1040693851.

The square root of 1583960401 is 39799.

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: 1040693851 = 20983 ⋅49597.

It is not a de Polignac number, because 1583960401 - 2³ = 1583960393 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1583960801) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 19900 + ... + 59698.

It is an arithmetic number, because the mean of its divisors is an integer number (528000067).

Almost surely, 2^1583960401 is an apocalyptic number.

1583960401 is the 39799-th square number.

1583960401 is the 19900-th centered octagonal number.

It is an amenable number.

1583960401 is a deficient number, since it is larger than the sum of its proper divisors (39800).

1583960401 is an frugal number, since it uses more digits than its factorization.

1583960401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79598 (or 39799 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The cubic root of 1583960401 is about 1165.6856226868.

The spelling of 1583960401 in words is "one billion, five hundred eighty-three million, nine hundred sixty thousand, four hundred one".