45582615 has 64 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 21244032.

The previous prime is 45582599. The next prime is 45582637. The reversal of 45582615 is 51628554.

It is not a de Polignac number, because 45582615 - 2⁴ = 45582599 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45582615.

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, 32662 + ... + 34028.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^45582615 is an apocalyptic number.

45582615 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45582615 is an abundant number, since it is smaller than the sum of its proper divisors (46346985).

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

45582615 is a wasteful number, since it uses less digits than its factorization.

45582615 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1407 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 45582615 is about 6751.4898355844. The cubic root of 45582615 is about 357.2177895725.

It can be divided in two parts, 45 and 582615, that added together give a triangular number (582660 = T₁₀₇₉).

The spelling of 45582615 in words is "forty-five million, five hundred eighty-two thousand, six hundred fifteen".