967521025 has 9 divisors (see below), whose sum is σ = 1199918953. Its totient is φ = 773892400.

The previous prime is 967521007. The next prime is 967521043. The reversal of 967521025 is 520125769.

The square root of 967521025 is 31105.

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

It is an interprime number because it is at equal distance from previous prime (967521007) and next prime (967521043).

It can be written as a sum of positive squares in 4 ways, for example, as 430023169 + 537497856 = 20737^2 + 23184^2 .

It is not a de Polignac number, because 967521025 - 2¹⁷ = 967389953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 152415 + ... + 158635.

Almost surely, 2^967521025 is an apocalyptic number.

967521025 is the 31105-th square number.

967521025 is the 15553-rd centered octagonal number.

It is an amenable number.

967521025 is a deficient number, since it is larger than the sum of its proper divisors (232397928).

967521025 is an frugal number, since it uses more digits than its factorization.

967521025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12452 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The cubic root of 967521025 is about 989.0543038644.

The spelling of 967521025 in words is "nine hundred sixty-seven million, five hundred twenty-one thousand, twenty-five".