966525921 has 27 divisors (see below), whose sum is σ = 1435270707. Its totient is φ = 626754240.

The previous prime is 966525887. The next prime is 966525983. The reversal of 966525921 is 129525669.

It is a happy number.

The square root of 966525921 is 31089.

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

966525921 is a `hidden beast` number, since 9 + 6 + 6 + 52 + 592 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 726895521 + 239630400 = 26961^2 + 15480^2 .

It is not a de Polignac number, because 966525921 - 2⁷ = 966525793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (966525121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4010361 + ... + 4010601.

Almost surely, 2^966525921 is an apocalyptic number.

966525921 is the 31089-th square number.

966525921 is the 15545-th centered octagonal number.

It is an amenable number.

966525921 is a deficient number, since it is larger than the sum of its proper divisors (468744786).

966525921 is an equidigital number, since it uses as much as digits as its factorization.

966525921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The cubic root of 966525921 is about 988.7151038246.

Multiplying 966525921 by its product of digits (291600), we get a square (281838958563600 = 16788060²).

The spelling of 966525921 in words is "nine hundred sixty-six million, five hundred twenty-five thousand, nine hundred twenty-one".