61842097 has 2 divisors, whose sum is σ = 61842098. Its totient is φ = 61842096.

The previous prime is 61842071. The next prime is 61842113. The reversal of 61842097 is 79024816.

61842097 is nontrivially palindromic in base 6.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54745201 + 7096896 = 7399^2 + 2664^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61842097 is a prime.

It is a super-2 number, since 2×61842097² = 7648889922714818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61842047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30921048 + 30921049.

It is an arithmetic number, because the mean of its divisors is an integer number (30921049).

Almost surely, 2^61842097 is an apocalyptic number.

It is an amenable number.

61842097 is a deficient number, since it is larger than the sum of its proper divisors (1).

61842097 is an equidigital number, since it uses as much as digits as its factorization.

61842097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 61842097 is about 7863.9746311900. The cubic root of 61842097 is about 395.4528737275.

It can be divided in two parts, 6184 and 2097, that added together give a square (8281 = 91²).

The spelling of 61842097 in words is "sixty-one million, eight hundred forty-two thousand, ninety-seven".