906182148097 has 16 divisors (see below), whose sum is σ = 972156805200. Its totient is φ = 841665650688.

The previous prime is 906182148089. The next prime is 906182148247. The reversal of 906182148097 is 790841281609.

It is a happy number.

It is a Cunningham number, because it is equal to 951936²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 906182148096 = 1^2 + 951936^2 .

It is a cyclic number.

It is not a de Polignac number, because 906182148097 - 2³ = 906182148089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (906182148007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211798 + ... + 1362799.

It is an arithmetic number, because the mean of its divisors is an integer number (60759800325).

Almost surely, 2^906182148097 is an apocalyptic number.

906182148097 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

It is an amenable number.

906182148097 is a deficient number, since it is larger than the sum of its proper divisors (65974657103).

906182148097 is a wasteful number, since it uses less digits than its factorization.

906182148097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575060.

The product of its (nonzero) digits is 1741824, while the sum is 55.

The spelling of 906182148097 in words is "nine hundred six billion, one hundred eighty-two million, one hundred forty-eight thousand, ninety-seven".