62964225 has 45 divisors (see below), whose sum is σ = 117902083. Its totient is φ = 32120880.

The previous prime is 62964211. The next prime is 62964227. The reversal of 62964225 is 52246926.

The square root of 62964225 is 7935.

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

62964225 is a `hidden beast` number, since 6 + 2 + 9 + 642 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22667121 + 40297104 = 4761^2 + 6348^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 62964225 - 2²¹ = 60867073 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

Its product of digits (51840) is a multiple of the sum of its prime factors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 62964225.

It is not an unprimeable number, because it can be changed into a prime (62964227) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2737564 + ... + 2737586.

Almost surely, 2^62964225 is an apocalyptic number.

62964225 is the 7935-th square number.

62964225 is the 3968-th centered octagonal number.

It is an amenable number.

62964225 is a deficient number, since it is larger than the sum of its proper divisors (54937858).

62964225 is an frugal number, since it uses more digits than its factorization.

62964225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 31 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The cubic root of 62964225 is about 397.8303886600.

Multiplying 62964225 by its sum of digits (36), we get a square (2266712100 = 47610²).

The spelling of 62964225 in words is "sixty-two million, nine hundred sixty-four thousand, two hundred twenty-five".