112763161 has 27 divisors (see below), whose sum is σ = 138182877. Its totient is φ = 91748160.

The previous prime is 112763149. The next prime is 112763191. The reversal of 112763161 is 161367211.

The square root of 112763161 is 10619.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1334025 + 111429136 = 1155^2 + 10556^2 .

It is not a de Polignac number, because 112763161 - 2⁵ = 112763129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112763111) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2750301 + ... + 2750341.

Almost surely, 2^112763161 is an apocalyptic number.

112763161 is the 10619-th square number.

112763161 is the 5310-th centered octagonal number.

It is an amenable number.

112763161 is a deficient number, since it is larger than the sum of its proper divisors (25419716).

112763161 is an frugal number, since it uses more digits than its factorization.

112763161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 85 counting only the distinct ones).

The product of its digits is 1512, while the sum is 28.

The cubic root of 112763161 is about 483.1208127388.

The spelling of 112763161 in words is "one hundred twelve million, seven hundred sixty-three thousand, one hundred sixty-one".