85749261 has 32 divisors (see below), whose sum is σ = 131053440. Its totient is φ = 49434624.

The previous prime is 85749253. The next prime is 85749271. The reversal of 85749261 is 16294758.

It is not a de Polignac number, because 85749261 - 2³ = 85749253 is a prime.

It is a super-2 number, since 2×85749261² = 14705871524092242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85749271) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 71281 + ... + 72473.

It is an arithmetic number, because the mean of its divisors is an integer number (4095420).

Almost surely, 2^85749261 is an apocalyptic number.

It is an amenable number.

85749261 is a deficient number, since it is larger than the sum of its proper divisors (45304179).

85749261 is a wasteful number, since it uses less digits than its factorization.

85749261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325.

The product of its digits is 120960, while the sum is 42.

The square root of 85749261 is about 9260.0896863907. The cubic root of 85749261 is about 440.9711006818.

The spelling of 85749261 in words is "eighty-five million, seven hundred forty-nine thousand, two hundred sixty-one".