653742 has 12 divisors (see below), whose sum is σ = 1416480. Its totient is φ = 217908.

The previous prime is 653713. The next prime is 653743. The reversal of 653742 is 247356.

It is a happy number.

653742 is a `hidden beast` number, since 653 + 7 + 4 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653743) by changing a digit.

653742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18142 + ... + 18177.

It is an arithmetic number, because the mean of its divisors is an integer number (118040).

2⁶⁵³⁷⁴² is an apocalyptic number.

653742 is an abundant number, since it is smaller than the sum of its proper divisors (762738).

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

653742 is a wasteful number, since it uses less digits than its factorization.

653742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36327 (or 36324 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 653742 is about 808.5431342854. The cubic root of 653742 is about 86.7898216243.

The spelling of 653742 in words is "six hundred fifty-three thousand, seven hundred forty-two".