42953085 has 80 divisors (see below), whose sum is σ = 89443200. Its totient is φ = 19315584.

The previous prime is 42953069. The next prime is 42953093. The reversal of 42953085 is 58035924.

42953085 is a `hidden beast` number, since 42 + 9 + 530 + 85 = 666.

It is not a de Polignac number, because 42953085 - 2⁴ = 42953069 is a prime.

It is a super-2 number, since 2×42953085² = 3689935022034450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 308946 + ... + 309084.

It is an arithmetic number, because the mean of its divisors is an integer number (1118040).

Almost surely, 2^42953085 is an apocalyptic number.

42953085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42953085 is an abundant number, since it is smaller than the sum of its proper divisors (46490115).

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

42953085 is a wasteful number, since it uses less digits than its factorization.

42953085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 42953085 is about 6553.8603128233. The cubic root of 42953085 is about 350.2123473319.

The spelling of 42953085 in words is "forty-two million, nine hundred fifty-three thousand, eighty-five".