42601 has 8 divisors (see below), whose sum is σ = 47880. Its totient is φ = 37632.

The previous prime is 42589. The next prime is 42611. The reversal of 42601 is 10624.

42601 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 4 ways, for example, as 576 + 42025 = 24^2 + 205^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 42601 - 2⁵ = 42569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a nialpdrome in base 15.

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 7 ways as a sum of consecutive naturals, for example, 321 + ... + 433.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2⁴²⁶⁰¹ is an apocalyptic number.

It is an amenable number.

42601 is a deficient number, since it is larger than the sum of its proper divisors (5279).

42601 is a wasteful number, since it uses less digits than its factorization.

42601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155.

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

The square root of 42601 is about 206.4000968992. The cubic root of 42601 is about 34.9252827857.

It can be divided in two parts, 4 and 2601, that multiplied together give a square (10404 = 102²).

The spelling of 42601 in words is "forty-two thousand, six hundred one".