42813225 has 192 divisors, whose sum is σ = 104993280. Its totient is φ = 16588800.

The previous prime is 42813209. The next prime is 42813227. The reversal of 42813225 is 52231824.

42813225 is a `hidden beast` number, since 428 + 13 + 225 = 666.

It is not a de Polignac number, because 42813225 - 2⁴ = 42813209 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (42813227) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1044205 + ... + 1044245.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 2^42813225 is an apocalyptic number.

42813225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42813225 is an abundant number, since it is smaller than the sum of its proper divisors (62180055).

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

42813225 is a wasteful number, since it uses less digits than its factorization.

42813225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 86 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 42813225 is about 6543.1815655688. The cubic root of 42813225 is about 349.8318239658.

The spelling of 42813225 in words is "forty-two million, eight hundred thirteen thousand, two hundred twenty-five".