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420097037 is a prime number
BaseRepresentation
bin11001000010100…
…010110000001101
31002021111010210112
4121002202300031
51330021101122
6105404045405
713260523463
oct3102426015
91067433715
10420097037
111a6152138
12b8833865
1369059c39
143db16833
1526d332e2
hex190a2c0d

420097037 has 2 divisors, whose sum is σ = 420097038. Its totient is φ = 420097036.

The previous prime is 420097021. The next prime is 420097039. The reversal of 420097037 is 730790024.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 336575716 + 83521321 = 18346^2 + 9139^2 .

It is a cyclic number.

It is not a de Polignac number, because 420097037 - 24 = 420097021 is a prime.

Together with 420097039, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 420096994 and 420097012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420097039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210048518 + 210048519.

It is an arithmetic number, because the mean of its divisors is an integer number (210048519).

Almost surely, 2420097037 is an apocalyptic number.

It is an amenable number.

420097037 is a deficient number, since it is larger than the sum of its proper divisors (1).

420097037 is an equidigital number, since it uses as much as digits as its factorization.

420097037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 420097037 is about 20496.2688555747. The cubic root of 420097037 is about 748.9449087021.

The spelling of 420097037 in words is "four hundred twenty million, ninety-seven thousand, thirty-seven".