835972 has 6 divisors (see below), whose sum is σ = 1462958. Its totient is φ = 417984.

The previous prime is 835957. The next prime is 835973. The reversal of 835972 is 279538.

It can be written as a sum of positive squares in only one way, i.e., 835396 + 576 = 914^2 + 24^2 .

It is a d-powerful number, because it can be written as 8⁶ + 3² + 9 + 5⁸ + 7⁶ + 2¹⁶ .

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (835973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104493 + ... + 104500.

2⁸³⁵⁹⁷² is an apocalyptic number.

It is an amenable number.

835972 is a deficient number, since it is larger than the sum of its proper divisors (626986).

835972 is a wasteful number, since it uses less digits than its factorization.

835972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208997 (or 208995 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 835972 is about 914.3150441724. The cubic root of 835972 is about 94.2028214558.

The spelling of 835972 in words is "eight hundred thirty-five thousand, nine hundred seventy-two".