30961312 has 72 divisors (see below), whose sum is σ = 66890880. Its totient is φ = 14087040.

The previous prime is 30961283. The next prime is 30961313. The reversal of 30961312 is 21316903.

It is a super-2 number, since 2×30961312² = 1917205681522688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (30961313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 524739 + ... + 524797.

It is an arithmetic number, because the mean of its divisors is an integer number (929040).

Almost surely, 2^30961312 is an apocalyptic number.

30961312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30961312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33445440).

30961312 is an abundant number, since it is smaller than the sum of its proper divisors (35929568).

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

30961312 is a wasteful number, since it uses less digits than its factorization.

30961312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 30961312 is about 5564.2889932138. The cubic root of 30961312 is about 314.0073294028.

The spelling of 30961312 in words is "thirty million, nine hundred sixty-one thousand, three hundred twelve".