247082000 has 120 divisors (see below), whose sum is σ = 657338136. Its totient is φ = 89760000.

The previous prime is 247081981. The next prime is 247082021. The reversal of 247082000 is 280742.

It can be written as a sum of positive squares in 4 ways, for example, as 7203856 + 239878144 = 2684^2 + 15488^2 .

It is a super-2 number, since 2×247082000² = 122099029448000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241490 + ... + 242510.

Almost surely, 2^247082000 is an apocalyptic number.

247082000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328669068).

247082000 is an abundant number, since it is smaller than the sum of its proper divisors (410256136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

247082000 is a wasteful number, since it uses less digits than its factorization.

247082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 247082000 is about 15718.8421965487. The cubic root of 247082000 is about 627.4999603181.

The spelling of 247082000 in words is "two hundred forty-seven million, eighty-two thousand".