31029964 has 96 divisors (see below), whose sum is σ = 71608320. Its totient is φ = 11446272.

The previous prime is 31029959. The next prime is 31029979. The reversal of 31029964 is 46992013.

31029964 = T₃₂₁ + T₃₂₂ + ... + T₆₀₂.

It is a super-3 number, since 3×31029964³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425032 + ... + 425104.

It is an arithmetic number, because the mean of its divisors is an integer number (745920).

Almost surely, 2^31029964 is an apocalyptic number.

31029964 is a gapful number since it is divisible by the number (34) 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 31029964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35804160).

31029964 is an abundant number, since it is smaller than the sum of its proper divisors (40578356).

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

31029964 is a wasteful number, since it uses less digits than its factorization.

31029964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 31029964 is about 5570.4545595490. The cubic root of 31029964 is about 314.2392459043.

The spelling of 31029964 in words is "thirty-one million, twenty-nine thousand, nine hundred sixty-four".