214856964 has 81 divisors (see below), whose sum is σ = 633597237. Its totient is φ = 61211808.

The previous prime is 214856951. The next prime is 214856977. The reversal of 214856964 is 469658412.

The square root of 214856964 is 14658.

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

214856964 is a `hidden beast` number, since 21 + 4 + 8 + 569 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (214856951) and next prime (214856977).

It can be written as a sum of positive squares in only one way, i.e., 157703364 + 57153600 = 12558^2 + 7560^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 615462 + ... + 615810.

Almost surely, 2^214856964 is an apocalyptic number.

214856964 is the 14658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214856964

214856964 is an abundant number, since it is smaller than the sum of its proper divisors (418740273).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214856964 is a wasteful number, since it uses less digits than its factorization.

214856964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 361 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The cubic root of 214856964 is about 598.9397609254.

The spelling of 214856964 in words is "two hundred fourteen million, eight hundred fifty-six thousand, nine hundred sixty-four".