825982947 has 12 divisors (see below), whose sum is σ = 1223899720. Its totient is φ = 550555740.

The previous prime is 825982943. The next prime is 825982951. The reversal of 825982947 is 749289528.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

825982947 is a `hidden beast` number, since 8 + 2 + 598 + 2 + 9 + 47 = 666.

It is an interprime number because it is at equal distance from previous prime (825982943) and next prime (825982951).

It is not a de Polignac number, because 825982947 - 2² = 825982943 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 825982893 and 825982902.

It is not an unprimeable number, because it can be changed into a prime (825982943) 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, 146572 + ... + 152102.

Almost surely, 2^825982947 is an apocalyptic number.

825982947 is a deficient number, since it is larger than the sum of its proper divisors (397916773).

825982947 is an frugal number, since it uses more digits than its factorization.

825982947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11071 (or 5534 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 825982947 is about 28739.9190499904. The cubic root of 825982947 is about 938.2610626420.

It can be divided in two parts, 8259829 and 47, that added together give a square (8259876 = 2874²).

The spelling of 825982947 in words is "eight hundred twenty-five million, nine hundred eighty-two thousand, nine hundred forty-seven".