85378953 has 16 divisors (see below), whose sum is σ = 124358400. Its totient is φ = 51673680.

The previous prime is 85378927. The next prime is 85378957. The reversal of 85378953 is 35987358.

It is a happy number.

It is not a de Polignac number, because 85378953 - 2¹² = 85374857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85378957) 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 15 ways as a sum of consecutive naturals, for example, 32358 + ... + 34896.

It is an arithmetic number, because the mean of its divisors is an integer number (7772400).

Almost surely, 2^85378953 is an apocalyptic number.

It is an amenable number.

85378953 is a deficient number, since it is larger than the sum of its proper divisors (38979447).

85378953 is a wasteful number, since it uses less digits than its factorization.

85378953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572.

The product of its digits is 907200, while the sum is 48.

The square root of 85378953 is about 9240.0732139957. The cubic root of 85378953 is about 440.3354071367.

The spelling of 85378953 in words is "eighty-five million, three hundred seventy-eight thousand, nine hundred fifty-three".