852749 has 2 divisors, whose sum is σ = 852750. Its totient is φ = 852748.

The previous prime is 852689. The next prime is 852751. The reversal of 852749 is 947258.

It is a happy number.

852749 is nontrivially palindromic in base 16.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 828100 + 24649 = 910^2 + 157^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-852749 is a prime.

Together with 852751, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 852749.

It is not a weakly prime, because it can be changed into another prime (852769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426374 + 426375.

It is an arithmetic number, because the mean of its divisors is an integer number (426375).

2⁸⁵²⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

852749 is a deficient number, since it is larger than the sum of its proper divisors (1).

852749 is an equidigital number, since it uses as much as digits as its factorization.

852749 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20160, while the sum is 35.

The square root of 852749 is about 923.4440968461. Note that the first 3 decimals coincide. The cubic root of 852749 is about 94.8288330582.

The spelling of 852749 in words is "eight hundred fifty-two thousand, seven hundred forty-nine".