47925 has 24 divisors (see below), whose sum is σ = 89280. Its totient is φ = 25200.

The previous prime is 47917. The next prime is 47933. The reversal of 47925 is 52974.

47925 = T₄₉ + T₅₀ + ... + T₇₃.

It is an interprime number because it is at equal distance from previous prime (47917) and next prime (47933).

It is not a de Polignac number, because 47925 - 2³ = 47917 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2520) is a multiple of the sum of its prime factors (90).

It is a plaindrome in base 12.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47925.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640 + ... + 710.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

2⁴⁷⁹²⁵ is an apocalyptic number.

47925 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47925 is a deficient number, since it is larger than the sum of its proper divisors (41355).

47925 is a wasteful number, since it uses less digits than its factorization.

47925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 79 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 47925 is about 218.9177927899. The cubic root of 47925 is about 36.3234736501.

The spelling of 47925 in words is "forty-seven thousand, nine hundred twenty-five".