31279104 has 72 divisors (see below), whose sum is σ = 90393030. Its totient is φ = 10420224.

The previous prime is 31279067. The next prime is 31279109. The reversal of 31279104 is 40197213.

It can be written as a sum of positive squares in only one way, i.e., 18662400 + 12616704 = 4320^2 + 3552^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (31279109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17584 + ... + 19280.

Almost surely, 2^31279104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31279104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45196515).

31279104 is an abundant number, since it is smaller than the sum of its proper divisors (59113926).

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

31279104 is a wasteful number, since it uses less digits than its factorization.

31279104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 31279104 is about 5592.7724788337. The cubic root of 31279104 is about 315.0780154459.

The spelling of 31279104 in words is "thirty-one million, two hundred seventy-nine thousand, one hundred four".