14937000 has 128 divisors (see below), whose sum is σ = 50319360. Its totient is φ = 3667200.

The previous prime is 14936989. The next prime is 14937017. The reversal of 14937000 is 73941.

It is a super-2 number, since 2×14937000² = 446227938000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 38809 + ... + 39191.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^14937000 is an apocalyptic number.

14937000 is a gapful number since it is divisible by the number (10) 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 14937000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

14937000 is an abundant number, since it is smaller than the sum of its proper divisors (35382360).

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

14937000 is a wasteful number, since it uses less digits than its factorization.

14937000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 14937000 is about 3864.8415232710. The cubic root of 14937000 is about 246.2754532340.

The spelling of 14937000 in words is "fourteen million, nine hundred thirty-seven thousand".