85742693 has 2 divisors, whose sum is σ = 85742694. Its totient is φ = 85742692.

The previous prime is 85742677. The next prime is 85742717. The reversal of 85742693 is 39624758.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65966884 + 19775809 = 8122^2 + 4447^2 .

It is a cyclic number.

It is not a de Polignac number, because 85742693 - 2⁴ = 85742677 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85742633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42871346 + 42871347.

It is an arithmetic number, because the mean of its divisors is an integer number (42871347).

Almost surely, 2^85742693 is an apocalyptic number.

It is an amenable number.

85742693 is a deficient number, since it is larger than the sum of its proper divisors (1).

85742693 is an equidigital number, since it uses as much as digits as its factorization.

85742693 is an evil number, because the sum of its binary digits is even.

The product of its digits is 362880, while the sum is 44.

The square root of 85742693 is about 9259.7350394058. The cubic root of 85742693 is about 440.9598416066.

The spelling of 85742693 in words is "eighty-five million, seven hundred forty-two thousand, six hundred ninety-three".