84993097 has 12 divisors (see below), whose sum is σ = 100228116. Its totient is φ = 71850240.

The previous prime is 84993067. The next prime is 84993101. The reversal of 84993097 is 79039948.

84993097 = T₁₈₃₈ + T₁₈₃₉ + ... + T₁₈₈₆.

It can be written as a sum of positive squares in 2 ways, for example, as 47734281 + 37258816 = 6909^2 + 6104^2 .

It is not a de Polignac number, because 84993097 - 2⁷ = 84992969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 84993097.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84993037) 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, 8304 + ... + 15457.

It is an arithmetic number, because the mean of its divisors is an integer number (8352343).

Almost surely, 2^84993097 is an apocalyptic number.

It is an amenable number.

84993097 is a deficient number, since it is larger than the sum of its proper divisors (15235019).

84993097 is a wasteful number, since it uses less digits than its factorization.

84993097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23848 (or 23841 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The square root of 84993097 is about 9219.1700819542. The cubic root of 84993097 is about 439.6710644170.

The spelling of 84993097 in words is "eighty-four million, nine hundred ninety-three thousand, ninety-seven".