157984705 has 8 divisors (see below), whose sum is σ = 191459304. Its totient is φ = 125136000.

The previous prime is 157984681. The next prime is 157984733. The reversal of 157984705 is 507489751.

It is a happy number.

157984705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7750656 + 150234049 = 2784^2 + 12257^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 157984705 - 2⁷ = 157984577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155916 + ... + 156925.

It is an arithmetic number, because the mean of its divisors is an integer number (23932413).

Almost surely, 2^157984705 is an apocalyptic number.

It is an amenable number.

157984705 is a deficient number, since it is larger than the sum of its proper divisors (33474599).

157984705 is a wasteful number, since it uses less digits than its factorization.

157984705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312947.

The product of its (nonzero) digits is 352800, while the sum is 46.

The square root of 157984705 is about 12569.1966728188. The cubic root of 157984705 is about 540.5945725800.

It can be divided in two parts, 15798 and 4705, that added together give a triangular number (20503 = T₂₀₂).

The spelling of 157984705 in words is "one hundred fifty-seven million, nine hundred eighty-four thousand, seven hundred five".