23742 has 12 divisors (see below), whose sum is σ = 51480. Its totient is φ = 7908.

The previous prime is 23741. The next prime is 23743. The reversal of 23742 is 24732.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23741) and next prime (23743).

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1319 = 23742 / (2 + 3 + 7 + 4 + 2).

It is an Ulam number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 23742.

It is not an unprimeable number, because it can be changed into a prime (23741) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 642 + ... + 677.

It is an arithmetic number, because the mean of its divisors is an integer number (4290).

2²³⁷⁴² is an apocalyptic number.

23742 is an abundant number, since it is smaller than the sum of its proper divisors (27738).

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

23742 is a wasteful number, since it uses less digits than its factorization.

23742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1324 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 23742 is about 154.0843924608. The cubic root of 23742 is about 28.7412575813.

Subtracting 23742 from its reverse (24732), we obtain a triangular number (990 = T₄₄).

The spelling of 23742 in words is "twenty-three thousand, seven hundred forty-two", and thus it is an iban number.