947625 has 48 divisors (see below), whose sum is σ = 1901952. Its totient is φ = 410400.

The previous prime is 947621. The next prime is 947627. The reversal of 947625 is 526749.

It is not a de Polignac number, because 947625 - 2² = 947621 is a prime.

Its product of digits (15120) is a multiple of the sum of its prime factors (63).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 947625.

It is not an unprimeable number, because it can be changed into a prime (947621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49866 + ... + 49884.

It is an arithmetic number, because the mean of its divisors is an integer number (39624).

2⁹⁴⁷⁶²⁵ is an apocalyptic number.

947625 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

947625 is an abundant number, since it is smaller than the sum of its proper divisors (954327).

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

947625 is a wasteful number, since it uses less digits than its factorization.

947625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 34 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 947625 is about 973.4603227662. The cubic root of 947625 is about 98.2227682559. Note that the first 3 decimals are identical.

Multiplying 947625 by its product of digits (15120), we get a square (14328090000 = 119700²).

The spelling of 947625 in words is "nine hundred forty-seven thousand, six hundred twenty-five".