1072820331 has 12 divisors (see below), whose sum is σ = 1690504920. Its totient is φ = 650194080.

The previous prime is 1072820279. The next prime is 1072820347. The reversal of 1072820331 is 1330282701.

It is not a de Polignac number, because 1072820331 - 2¹¹ = 1072818283 is a prime.

It is a super-2 number, since 2×1072820331² = 2301886925213899122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1072820295 and 1072820304.

It is not an unprimeable number, because it can be changed into a prime (1072820431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5418186 + ... + 5418383.

It is an arithmetic number, because the mean of its divisors is an integer number (140875410).

Almost surely, 2^1072820331 is an apocalyptic number.

1072820331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1072820331 is a deficient number, since it is larger than the sum of its proper divisors (617684589).

1072820331 is a wasteful number, since it uses less digits than its factorization.

1072820331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10836586 (or 10836583 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1072820331 is about 32753.9361146107. The cubic root of 1072820331 is about 1023.7069814248.

The spelling of 1072820331 in words is "one billion, seventy-two million, eight hundred twenty thousand, three hundred thirty-one".