85742629 has 8 divisors (see below), whose sum is σ = 98257280. Its totient is φ = 73294416.

The previous prime is 85742627. The next prime is 85742633. The reversal of 85742629 is 92624758.

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

It is a cyclic number.

It is not a de Polignac number, because 85742629 - 2¹ = 85742627 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85742627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13809 + ... + 19030.

It is an arithmetic number, because the mean of its divisors is an integer number (12282160).

Almost surely, 2^85742629 is an apocalyptic number.

It is an amenable number.

85742629 is a deficient number, since it is larger than the sum of its proper divisors (12514651).

85742629 is a wasteful number, since it uses less digits than its factorization.

85742629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33219.

The product of its digits is 241920, while the sum is 43.

The square root of 85742629 is about 9259.7315835828. The cubic root of 85742629 is about 440.9597318929.

The spelling of 85742629 in words is "eighty-five million, seven hundred forty-two thousand, six hundred twenty-nine".