85948129 has 8 divisors (see below), whose sum is σ = 87240320. Its totient is φ = 84661200.

The previous prime is 85948091. The next prime is 85948147. The reversal of 85948129 is 92184958.

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 85948129 - 2¹⁹ = 85423841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85948169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41734 + ... + 43744.

It is an arithmetic number, because the mean of its divisors is an integer number (10905040).

Almost surely, 2^85948129 is an apocalyptic number.

It is an amenable number.

85948129 is a deficient number, since it is larger than the sum of its proper divisors (1292191).

85948129 is a wasteful number, since it uses less digits than its factorization.

85948129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631.

The product of its digits is 207360, while the sum is 46.

The square root of 85948129 is about 9270.8213767713. The cubic root of 85948129 is about 441.3117346554.

The spelling of 85948129 in words is "eighty-five million, nine hundred forty-eight thousand, one hundred twenty-nine".