42700 has 36 divisors (see below), whose sum is σ = 107632. Its totient is φ = 14400.

The previous prime is 42697. The next prime is 42701. The reversal of 42700 is 724.

42700 = T₇₁ + T₇₂ + ... + T₈₄.

42700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670 + ... + 730.

2⁴²⁷⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53816).

42700 is an abundant number, since it is smaller than the sum of its proper divisors (64932).

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

42700 is a wasteful number, since it uses less digits than its factorization.

42700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 42700 is about 206.6397831977. The cubic root of 42700 is about 34.9523160172.

It can be divided in two parts, 4 and 2700, that added together give a square (2704 = 52²).

The spelling of 42700 in words is "forty-two thousand, seven hundred", and thus it is an iban number.