908973 has 24 divisors (see below), whose sum is σ = 1500408. Its totient is φ = 525312.

The previous prime is 908959. The next prime is 908993. The reversal of 908973 is 379809.

It can be written as a sum of positive squares in 4 ways, for example, as 248004 + 660969 = 498^2 + 813^2 .

It is not a de Polignac number, because 908973 - 2⁶ = 908909 is a prime.

It is a Curzon number.

908973 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (908953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1761 + ... + 2217.

It is an arithmetic number, because the mean of its divisors is an integer number (62517).

2⁹⁰⁸⁹⁷³ is an apocalyptic number.

It is an amenable number.

908973 is a deficient number, since it is larger than the sum of its proper divisors (591435).

908973 is a wasteful number, since it uses less digits than its factorization.

908973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 908973 is about 953.4007551916. The cubic root of 908973 is about 96.8687422944.

It can be divided in two parts, 90897 and 3, that multiplied together give a triangular number (272691 = T₇₃₈).

The spelling of 908973 in words is "nine hundred eight thousand, nine hundred seventy-three".