45667125 has 64 divisors (see below), whose sum is σ = 96545280. Its totient is φ = 20865600.

The previous prime is 45667103. The next prime is 45667147. The reversal of 45667125 is 52176654.

It is a happy number.

45667125 is a `hidden beast` number, since 4 + 566 + 71 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (45667103) and next prime (45667147).

It is not a de Polignac number, because 45667125 - 2⁷ = 45666997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45667125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22659 + ... + 24591.

It is an arithmetic number, because the mean of its divisors is an integer number (1508520).

Almost surely, 2^45667125 is an apocalyptic number.

45667125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45667125 is an abundant number, since it is smaller than the sum of its proper divisors (50878155).

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

45667125 is a wasteful number, since it uses less digits than its factorization.

45667125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1948 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 45667125 is about 6757.7455560268. The cubic root of 45667125 is about 357.4384134379.

The spelling of 45667125 in words is "forty-five million, six hundred sixty-seven thousand, one hundred twenty-five".