97807853 has 16 divisors (see below), whose sum is σ = 115540992. Its totient is φ = 81624000.

The previous prime is 97807823. The next prime is 97807861. The reversal of 97807853 is 35870879.

It is a cyclic number.

It is not a de Polignac number, because 97807853 - 2¹⁸ = 97545709 is a prime.

It is a super-2 number, since 2×97807853² = 19132752216939218, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97807798 and 97807807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97807823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25523 + ... + 29103.

It is an arithmetic number, because the mean of its divisors is an integer number (7221312).

Almost surely, 2^97807853 is an apocalyptic number.

It is an amenable number.

97807853 is a deficient number, since it is larger than the sum of its proper divisors (17733139).

97807853 is a wasteful number, since it uses less digits than its factorization.

97807853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796.

The product of its (nonzero) digits is 423360, while the sum is 47.

The square root of 97807853 is about 9889.7852858391. The cubic root of 97807853 is about 460.7421118210.

The spelling of 97807853 in words is "ninety-seven million, eight hundred seven thousand, eight hundred fifty-three".