31034772 has 48 divisors (see below), whose sum is σ = 81204480. Its totient is φ = 10249344.

The previous prime is 31034761. The next prime is 31034791. The reversal of 31034772 is 27743013.

31034772 is a `hidden beast` number, since 310 + 347 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10933 + ... + 13475.

It is an arithmetic number, because the mean of its divisors is an integer number (1691760).

Almost surely, 2^31034772 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 31034772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40602240).

31034772 is an abundant number, since it is smaller than the sum of its proper divisors (50169708).

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

31034772 is a wasteful number, since it uses less digits than its factorization.

31034772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 31034772 is about 5570.8861054593. The cubic root of 31034772 is about 314.2554752095.

Adding to 31034772 its reverse (27743013), we get a palindrome (58777785).

It can be divided in two parts, 3103 and 4772, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 31034772 in words is "thirty-one million, thirty-four thousand, seven hundred seventy-two".