971535 has 16 divisors (see below), whose sum is σ = 1566720. Its totient is φ = 514080.

The previous prime is 971521. The next prime is 971549. The reversal of 971535 is 535179.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (971521) and next prime (971549).

It is not a de Polignac number, because 971535 - 2⁸ = 971279 is a prime.

971535 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3450 + ... + 3720.

It is an arithmetic number, because the mean of its divisors is an integer number (97920).

2⁹⁷¹⁵³⁵ is an apocalyptic number.

971535 is a deficient number, since it is larger than the sum of its proper divisors (595185).

971535 is a wasteful number, since it uses less digits than its factorization.

971535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518.

The product of its digits is 4725, while the sum is 30.

The square root of 971535 is about 985.6647503081. The cubic root of 971535 is about 99.0420186903.

The spelling of 971535 in words is "nine hundred seventy-one thousand, five hundred thirty-five".