825672737 has 2 divisors, whose sum is σ = 825672738. Its totient is φ = 825672736.

The previous prime is 825672733. The next prime is 825672739. The reversal of 825672737 is 737276528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 512524321 + 313148416 = 22639^2 + 17696^2 .

It is a cyclic number.

It is not a de Polignac number, because 825672737 - 2² = 825672733 is a prime.

Together with 825672739, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_42397697 and since 825672737 and 42397697 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 825672691 and 825672700.

It is not a weakly prime, because it can be changed into another prime (825672733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412836368 + 412836369.

It is an arithmetic number, because the mean of its divisors is an integer number (412836369).

Almost surely, 2^825672737 is an apocalyptic number.

It is an amenable number.

825672737 is a deficient number, since it is larger than the sum of its proper divisors (1).

825672737 is an equidigital number, since it uses as much as digits as its factorization.

825672737 is an evil number, because the sum of its binary digits is even.

The product of its digits is 987840, while the sum is 47.

The square root of 825672737 is about 28734.5216942966. The cubic root of 825672737 is about 938.1435887039.

The spelling of 825672737 in words is "eight hundred twenty-five million, six hundred seventy-two thousand, seven hundred thirty-seven".