30964 has 6 divisors (see below), whose sum is σ = 54194. Its totient is φ = 15480.

The previous prime is 30949. The next prime is 30971. The reversal of 30964 is 46903.

30964 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in only one way, i.e., 22500 + 8464 = 150^2 + 92^2 .

It is a d-powerful number, because it can be written as 3⁵ + 0 + 9⁴ + 6⁵ + 4⁷ .

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

30964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3867 + ... + 3874.

2³⁰⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

30964 is a deficient number, since it is larger than the sum of its proper divisors (23230).

30964 is a wasteful number, since it uses less digits than its factorization.

30964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7745 (or 7743 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 30964 is about 175.9659057886. The cubic root of 30964 is about 31.4016416305.

It can be divided in two parts, 309 and 64, that added together give a palindrome (373).

The spelling of 30964 in words is "thirty thousand, nine hundred sixty-four".