41097 has 16 divisors (see below), whose sum is σ = 66560. Its totient is φ = 22032.

The previous prime is 41081. The next prime is 41113. The reversal of 41097 is 79014.

41097 = 39² + 40² + ... + 56².

It is an interprime number because it is at equal distance from previous prime (41081) and next prime (41113).

It is not a de Polignac number, because 41097 - 2⁴ = 41081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (4160).

2⁴¹⁰⁹⁷ is an apocalyptic number.

It is an amenable number.

41097 is a deficient number, since it is larger than the sum of its proper divisors (25463).

41097 is a wasteful number, since it uses less digits than its factorization.

41097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 41097 is about 202.7239502378. The cubic root of 41097 is about 34.5093442448.

The spelling of 41097 in words is "forty-one thousand, ninety-seven".