961062001 has 9 divisors (see below), whose sum is σ = 996276801. Its totient is φ = 927053904.

The previous prime is 961061989. The next prime is 961062007. The reversal of 961062001 is 100260169.

The square root of 961062001 is 31001.

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

It can be written as a sum of positive squares in 4 ways, for example, as 62001 + 961000000 = 249^2 + 31000^2 .

It is a de Polignac number, because none of the positive numbers 2^k-961062001 is a prime.

It is a super-2 number, since 2×961062001² = 1847280339532248002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (961062007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 898495 + ... + 899563.

Almost surely, 2^961062001 is an apocalyptic number.

961062001 is the 31001-st square number.

961062001 is the 15501-st centered octagonal number.

It is an amenable number.

961062001 is a deficient number, since it is larger than the sum of its proper divisors (35214800).

961062001 is an frugal number, since it uses more digits than its factorization.

961062001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The cubic root of 961062001 is about 986.8484622990.

Multiplying 961062001 by its sum of digits (25), we get a square (24026550025 = 155005²).

The spelling of 961062001 in words is "nine hundred sixty-one million, sixty-two thousand, one".