901920905 has 16 divisors (see below), whose sum is σ = 1102075200. Its totient is φ = 708388800.

The previous prime is 901920857. The next prime is 901920949. The reversal of 901920905 is 509029109.

It is not a de Polignac number, because 901920905 - 2¹⁸ = 901658761 is a prime.

It is a super-3 number, since 3×901920905³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 308591 + ... + 311499.

It is an arithmetic number, because the mean of its divisors is an integer number (68879700).

Almost surely, 2^901920905 is an apocalyptic number.

It is an amenable number.

901920905 is a deficient number, since it is larger than the sum of its proper divisors (200154295).

901920905 is a wasteful number, since it uses less digits than its factorization.

901920905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024.

The product of its (nonzero) digits is 7290, while the sum is 35.

The square root of 901920905 is about 30031.9980187799. The cubic root of 901920905 is about 966.1757903430.

The spelling of 901920905 in words is "nine hundred one million, nine hundred twenty thousand, nine hundred five".