31014000 has 120 divisors (see below), whose sum is σ = 108384432. Its totient is φ = 8265600.

The previous prime is 31013993. The next prime is 31014013. The reversal of 31014000 is 41013.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 23 ways as a sum of consecutive naturals, for example, 17139 + ... + 18861.

Almost surely, 2^31014000 is an apocalyptic number.

31014000 is a gapful number since it is divisible by the number (30) 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 31014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54192216).

31014000 is an abundant number, since it is smaller than the sum of its proper divisors (77370432).

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

31014000 is a wasteful number, since it uses less digits than its factorization.

31014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 31014000 is about 5569.0214580301. The cubic root of 31014000 is about 314.1853477233.

Adding to 31014000 its reverse (41013), we get a palindrome (31055013).

The spelling of 31014000 in words is "thirty-one million, fourteen thousand".