14961375 has 128 divisors (see below), whose sum is σ = 33546240. Its totient is φ = 6480000.

The previous prime is 14961371. The next prime is 14961383. The reversal of 14961375 is 57316941.

14961375 = 70³ + 71³ + ... + 95³.

It is not a de Polignac number, because 14961375 - 2² = 14961371 is a prime.

Its product of digits (22680) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14961371) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 482610 + ... + 482640.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^14961375 is an apocalyptic number.

14961375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14961375 is an abundant number, since it is smaller than the sum of its proper divisors (18584865).

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

14961375 is a wasteful number, since it uses less digits than its factorization.

14961375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 63 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 14961375 is about 3867.9936659721. The cubic root of 14961375 is about 246.4093422749.

The spelling of 14961375 in words is "fourteen million, nine hundred sixty-one thousand, three hundred seventy-five".