78253 has 6 divisors (see below), whose sum is σ = 91086. Its totient is φ = 67032.

The previous prime is 78241. The next prime is 78259. The reversal of 78253 is 35287.

It can be written as a sum of positive squares in only one way, i.e., 56644 + 21609 = 238^2 + 147^2 .

It is a sliding number, since 78253 = 128 + 78125 and 1/128 + 1/78125 = 0.0078253.

It is not a de Polignac number, because 78253 - 2^{13} = 70061 is a prime.

It is a super-2 number, since 2×78253^{2} = 12247064018, which contains 22 as substring.

It is a d-powerful number, because it can be written as **7** + **8** + **2**^{5} + **5**^{7} + **3**^{4} .

It is a Duffinian number.

78253 is a lucky number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78259) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 750 + ... + 847.

It is an arithmetic number, because the mean of its divisors is an integer number (15181).

2^{78253} is an apocalyptic number.

It is an amenable number.

78253 is a deficient number, since it is larger than the sum of its proper divisors (12833).

78253 is a wasteful number, since it uses less digits than its factorization.

78253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1604 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 78253 is about 279.7373768376. The cubic root of 78253 is about 42.7727327996.

The spelling of 78253 in words is "seventy-eight thousand, two hundred fifty-three".

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