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36219961 is a prime number
BaseRepresentation
bin1000101000101…
…0110000111001
32112011011110001
42022022300321
533233014321
63332153001
7616602361
oct212126071
975134401
1036219961
1119499658
1210168761
13767213b
144b4b9a1
1532a6c91
hex228ac39

36219961 has 2 divisors, whose sum is σ = 36219962. Its totient is φ = 36219960.

The previous prime is 36219907. The next prime is 36219971. The reversal of 36219961 is 16991263.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36000000 + 219961 = 6000^2 + 469^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36219961 is a prime.

It is a super-3 number, since 3×362199613 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36219961.

It is not a weakly prime, because it can be changed into another prime (36219901) 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, 18109980 + 18109981.

It is an arithmetic number, because the mean of its divisors is an integer number (18109981).

Almost surely, 236219961 is an apocalyptic number.

It is an amenable number.

36219961 is a deficient number, since it is larger than the sum of its proper divisors (1).

36219961 is an equidigital number, since it uses as much as digits as its factorization.

36219961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17496, while the sum is 37.

The square root of 36219961 is about 6018.3021692168. The cubic root of 36219961 is about 330.8638554380.

It can be divided in two parts, 36 and 219961, that multiplied together give a square (7918596 = 28142).

The spelling of 36219961 in words is "thirty-six million, two hundred nineteen thousand, nine hundred sixty-one".