14945931 has 96 divisors (see below), whose sum is σ = 30643200. Its totient is φ = 7076160.

The previous prime is 14945881. The next prime is 14945969. The reversal of 14945931 is 13954941.

It is a happy number.

It is not a de Polignac number, because 14945931 - 2⁷ = 14945803 is a prime.

It is a super-4 number, since 4×14945931⁴ (a number of 30 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (14945531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189150 + ... + 189228.

It is an arithmetic number, because the mean of its divisors is an integer number (319200).

Almost surely, 2^14945931 is an apocalyptic number.

14945931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14945931 is an abundant number, since it is smaller than the sum of its proper divisors (15697269).

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

14945931 is a wasteful number, since it uses less digits than its factorization.

14945931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 14945931 is about 3865.9967666826. The cubic root of 14945931 is about 246.3245270742.

It can be divided in two parts, 14945 and 931, that added together give a square (15876 = 126²).

The spelling of 14945931 in words is "fourteen million, nine hundred forty-five thousand, nine hundred thirty-one".