904761 has 48 divisors (see below), whose sum is σ = 1659840. Its totient is φ = 466560.

The previous prime is 904759. The next prime is 904769. The reversal of 904761 is 167409.

It is not a de Polignac number, because 904761 - 2¹ = 904759 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24435 + ... + 24471.

It is an arithmetic number, because the mean of its divisors is an integer number (34580).

2⁹⁰⁴⁷⁶¹ is an apocalyptic number.

It is an amenable number.

904761 is a deficient number, since it is larger than the sum of its proper divisors (755079).

904761 is a wasteful number, since it uses less digits than its factorization.

904761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 904761 is about 951.1892556164. The cubic root of 904761 is about 96.7188870973.

It can be divided in two parts, 90 and 4761, that added together give a triangular number (4851 = T₉₈).

The spelling of 904761 in words is "nine hundred four thousand, seven hundred sixty-one".