42610 has 8 divisors (see below), whose sum is σ = 76716. Its totient is φ = 17040.

The previous prime is 42589. The next prime is 42611. The reversal of 42610 is 1624.

42610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40401 + 2209 = 201^2 + 47^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×42610² = 3631224200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42611) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2121 + ... + 2140.

2⁴²⁶¹⁰ is an apocalyptic number.

42610 is a deficient number, since it is larger than the sum of its proper divisors (34106).

42610 is a wasteful number, since it uses less digits than its factorization.

42610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 42610 is about 206.4218980632. The cubic root of 42610 is about 34.9277420818.

It can be divided in two parts, 4 and 2610, that multiplied together give a triangular number (10440 = T₁₄₄).

The spelling of 42610 in words is "forty-two thousand, six hundred ten".