112552335 has 120 divisors (see below), whose sum is σ = 245155680. Its totient is φ = 48335616.

The previous prime is 112552313. The next prime is 112552343. The reversal of 112552335 is 533255211.

112552335 = 183² + 184² + ... + 700².

It is a happy number.

It is not a de Polignac number, because 112552335 - 2⁵ = 112552303 is a prime.

It is a super-2 number, since 2×112552335² = 25336056227904450, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112552299 and 112552308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3041937 + ... + 3041973.

It is an arithmetic number, because the mean of its divisors is an integer number (2042964).

Almost surely, 2^112552335 is an apocalyptic number.

112552335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112552335 is an abundant number, since it is smaller than the sum of its proper divisors (132603345).

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

112552335 is an equidigital number, since it uses as much as digits as its factorization.

112552335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 81 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 112552335 is about 10609.0685265013. The cubic root of 112552335 is about 482.8195383082.

The spelling of 112552335 in words is "one hundred twelve million, five hundred fifty-two thousand, three hundred thirty-five".