667964025 has 27 divisors (see below), whose sum is σ = 1197092559. Its totient is φ = 356040720.

The previous prime is 667963979. The next prime is 667964027. The reversal of 667964025 is 520469766.

The square root of 667964025 is 25845.

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

667964025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 240467049 + 427496976 = 15507^2 + 20676^2 .

It is not a de Polignac number, because 667964025 - 2¹⁷ = 667832953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (667964027) 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, 386814 + ... + 388536.

Almost surely, 2^667964025 is an apocalyptic number.

667964025 is the 25845-th square number.

667964025 is the 12923-rd centered octagonal number.

It is an amenable number.

667964025 is a deficient number, since it is larger than the sum of its proper divisors (529128534).

667964025 is an equidigital number, since it uses as much as digits as its factorization.

667964025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The cubic root of 667964025 is about 874.1467709918.

The spelling of 667964025 in words is "six hundred sixty-seven million, nine hundred sixty-four thousand, twenty-five".